Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2022. №6
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DOI: https://doi.org/10.30898/1684-1719.2022.6.2

 

DETERMINATION OF THE SAMPLING RATE OF A RANDOM PROCESS

 

Y.M. Veshkurtsev 1, D.A. Titov 2

 

1 Institute of Radioelectronics, service and diagnostics
644077, Russia, Omsk, pr. Mira, 57

2 Omsk State Technical University

644050, Russia, Omsk, pr. Mira, 11

 

The paper was received May 17, 2022.

 

Abstract. Using an additional coefficient, the sampling rate obtained as a result of applying the Whittaker-Kotelnikov-Shannon theorem to a random process with many probabilistic characteristics is refined. The purpose of this paper is to determine the values of an additional coefficient, allowing to find the value of the sampling rate of a process while maintaining a given error of distortion of any of the set of probabilistic characteristics. A transcendental equation is proposed, the solution of which, using experimenta data from the study of the probabilistic characteristics of real sources of random processes, makes it possible to calculate the value of the additional coefficient. When calculating the value of the additional coefficient, it turns out different when the probabilistic characteristics of the process and the distortion errors vary. It has been established that the use of an additional coefficient greater than one does not violate the fundamentality of the Whittaker-Kotelnikov-Shannon theorem and allows one to reasonably choose the sampling rate of a random process without exceeding the specified error in the distortion of its probabilistic characteristics.

Key words: sampling rate, estimates of probabilistic characteristics, random process, Lyapunov characteristic function.

Corresponding author: Titov Dmitry Anatolievich, Dtitov2@yandex.ru

References

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For citation:

Veshkurtsev Y.M., Titov D.A. Determination of the sampling rate of a random process. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2022. №6. https://doi.org/10.30898/1684-1719.2022.6.2 (In Russian)